\documentclass[%
reprint,
superscriptaddress,
%preprint,
nofootinbib,
nobibnotes,
 amsmath,amssymb,
 aps,
%pra,
%prb,
prl,
%rmp,
%floatfix,
11pt,
]{revtex4-1}

\usepackage{graphicx}% Include figure files
\usepackage{dcolumn}% Align table columns on decimal point
\usepackage{bm}% bold math

\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}

\usepackage{iftex}
\ifPDFTeX
   \usepackage[utf8]{inputenc}
   \usepackage[T1]{fontenc}
   \usepackage{lmodern}
\else
   \ifXeTeX
     \usepackage{xltxtra}
   \else
     \usepackage{luatextra}
   \fi
   %\setmainfont[Ligatures=TeX]{Linux Libertine O}
   %\setmainfont[Ligatures=TeX]{Arial Unicode MS}
   \setmainfont{FreeSerif}
   \setmonofont{FreeMono}
   \usepackage{polyglossia}
\fi

\usepackage[paperwidth=170mm, paperheight=140mm, margin=20mm]{geometry}
%\usepackage{etoolbox}
\linespread{1.1}%line spacing
\usepackage{setspace}
%\usepackage{caption}
\usepackage{float}

\makeatletter
\def\frontmatter@abstractwidth{370\p@}
%\def\frontmatter@title@above{\addvspace{1pt}}
\def\frontmatter@title@below{} %\addvspace{-10pt}}
%\def\frontmatter@above@affilgroup{\addvspace{-11pt}}
\def\frontmatter@preabstractspace{6\p@}
\def\frontmatter@postabstractspace{3.5\p@}
\def\frontmatter@authorformat{\centering\normalsize\addvspace{1.5\p@}}%
%%\def\frontmatter@authorformat{\centering\advance\baselineskip\p@\parskip0.1\p@\let\thanks\thanks@latex\let\and\and@space}%
%\def\frontmatter@authorbelow{\vskip -12pt}%
\def\frontmatter@abstractfont{\small\parindent0em\relax\adjust@abstractwidth}%
\makeatother

\begin{document}
\title{Computer Simulations on Depinning Transition of Magnetic Domain Wall}
\author{\underline{Bin Xi}}
\affiliation{Elements Strategy Initiative Center for Magnetic Materials (ESICMM), National Institute for Materials Science (NIMS), Tsukuba 305-0047, Japan}
\affiliation{International Center for Materials Nanoarchitectonics (WPI-MANA), National Institute for Materials Science (NIMS), Tsukuba 305-0044, Japan}
\author{Xiao Hu}
\affiliation{International Center for Materials Nanoarchitectonics (WPI-MANA), National Institute for Materials Science (NIMS), Tsukuba 305-0044, Japan}
\begin{abstract}
Recently considerable attentions have been paid to domain-wall dynamics in magnetic materials in order to achieve high coercivity. Here we investigate the domain-wall dynamics under driving field in a thin film of permanent ferromagnet by computer simulations on the two-dimensional Ising model with dipole-dipole interactions and random fields. At zero temperature, there is a critical driving magnetic field, below which the system is pinned by random pinning potentials, whereas above which the domain wall acquires a finite velocity. This sharp depinning transition point defines the coercive force. However, at finite temperatures velocity is non-zero even below the critical field due to thermal activations. We have found a scaling relation among the velocity, temperature and driving field. Interestingly, the domain-wall motion derived from the scaling function and critical exponents is a non-Arrhenius-type one. In this way, we have formulated a systematic way for analyzing experimental results at finite temperatures.

\end{abstract}
\maketitle

\end{document}
